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Monte-Carlo and Empirical Methods for Statistical Inference, VT-11

Overview

Lectures:

Mondays 8-10, MH:309A
Thursdays 15-17, MH:309A
See also the schedule below.

Computer exercises:

Tuesdays 15-17
or
Wednesdays 15-17

Computer exercises are in MH:230 except on On February 1, February 9, and February 16 when the the exercises are in MH:231 instead.

For those of you who are new to matlab:
Introduktion till Matlab (in Swedish)
Introduction to Matlab (Mathworks)
Matlab to R reference

Office hours:

Monday 10:15-11:30, MH:241
Wednesday 13:15-15:00, MH:241

Examination

Five computer exercises, each requiring a very short report (no longer than one page).
Three home assignments/projects, with oral examination after the last project.
The assignments will be handed out during the 2:nd, 4:th and 6:th course week.

Project 1: Simulation and Monte-Carlo integration, (pdf)
Handed out 2011-01-24, due 2011-02-10.

Project 2: MCMC and Bayesian inference, (pdf)
Data: challenger.txt, coal_mine.txt
Handed out 2011-02-07, due 2011-02-24.

Project 3: EM alogirithm and Bootstrap tests, (pdf)
Data: gene_data.txt, telecom_data.txt
functions: gibbsHMM.m, simulateHMM.m
Handed out 2011-02-24, due 2011-03-10.

The third project has now been graded, you can get them in my office.

Oral exam

Times for the oral exam are You sign up for a time on the following link: Sign up.
You find MH:330 on the third floor in the Mathematics building.

Schedule

Day Lectures (chapters in the book) Computer Ex. PDF
v1Mon17/1L1 Introduction
Examples
pdf
Thu20/1L2 Random number generation (2-3)
Uniform random numbers
Ziggurat algorithm
pdf
v2Mon24/1L3 Monte Carlo-integration (4) pdf
Tue25/1C1 pdf
Wed26/1C1
Thu27/1L4 MCMC (5.1,5.3,5.5-5.6)
Two key papers on MCMC: Metropolis et al. (1953)
Hastings (1970)
Extra material about MCMC: pdf
Matlab code for example: example.m
pdf
v3Mon31/1L5 MCMC (5.2,5.4,5.7)
Matlab code for Slice sampler example: slicesampler.m
pdf
Tue1/2C2 pdf
Wed2/2C2
Thu3/2L6 Stochastic modelling and Bayesian inference (6.1,10.1)
Matlab code for example: MCMC_Exp.m
pdf
v4Mon7/2L7 Bayesian examples, simulation (10.2-10.3,11) pdf
Tue8/2C3 pdf, data
Wed9/2C3
Thu10/2L8 Statistical models (6) pdf
v5Mon14/2L9 Bootstrap (7.1-7.3)
A leisurely look at the Bootstrap, the Jackknife,
and Cross-Validation (1983)
pdf
Tue15/2C4 pdf, stars.txt
Wed16/2C4
Thu17/2L10 Parametric Bootstrap (7.4-7.5) pdf
v6Mon21/2L11 Permutaion test (8) pdf
Tue22/2C5 pdf, atlantic.txt
est_gumbel.m
Wed23/2C5
Thu24/2L12 The EM-algorithm (9)
Maximum Likelihood from Incomplete Data
via the EM Algorithm (1977)
pdf
v7Mon28/2L13 Summary, comments
pdf
Tue1/3C6 Help with project 3
Wed1/3C6 Help with project 3

Literature

M. Sköld, Computer Intensive Statistical Methods and some additional handouts.
The book is available from the Department for Mathematical Statistics.

Some known misprints in the course book can be found in the Errata.

The above book is the only one needed for the course.
However if you wish to explore other literature some good options are:

Monte Carlo

Bootstrap

People

Course administrator/lecturer:

David Bolin
room: MH:241
phone: 046-222 79 74
e-mail: bolin@maths.lth.se

Computer exercises:

Johan Lindström
room: MH:245
e-mail: johanl@maths.lth.se